Anisotropic fluid with SU(2)-type structure in general relativity: A model of localized matter

Journal Article · Thu Oct 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527783· OSTI ID:6262567

Letelier, P S; Verdaguer, E

A model of anisotropic fluid with three perfect fluid components in interaction is studied. Each fluid component obeys the stiff matter equation of state and is irrotational. The interaction is chosen to reproduce an integrable system of equations similar to the one associated to self-dual SU(2) gauge fields. An extension of the Belinsky--Zakharov version of the inverse scattering transform is presented and used to find soliton solutions to the coupled Einstein equations. A particular class of solutions that can be interpreted as lumps of matter propagating in empty space-time is examined.

• Research Organization: Departamento de Fisica Universidade de Brasilia, 70910 Brasilia, Brazil
• OSTI ID: 6262567
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:10; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETISM
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETISM
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS